This booklet constitutes the lawsuits of the fifth foreign Workshop on Algorithms and Computation, WALCOM 2011, held in New Delhi, India, in February 2011. The 20 papers offered during this quantity have been conscientiously reviewed and chosen from fifty seven submissions. The papers are grouped in topical sections on approximation algorithms, hardness, set of rules engineering, computational geometry, string algorithms, and graph algorithms.

This publication constitutes the refereed court cases of the ninth foreign Colloquium on Grammatical Inference, ICGI 2008, held in Saint-Malo, France, in September 2008. The 21 revised complete papers and eight revised brief papers provided have been conscientiously reviewed and chosen from 36 submissions. the subjects of the papers provided range from theoretical result of studying algorithms to cutting edge purposes of grammatical inference, and from studying numerous fascinating sessions of formal grammars to purposes to typical language processing.

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We assume without loss of generality that each key hashing to the leftmost cell has probe sequence 1, 2, 3, . . Then in rule S1 with probability p we hash to the leftmost cell, reuse the same hash sequence 1, 2, 3, . . , and occupy the leftmost empty cell. The score is the distance to the first free cell, and we have two scoregenerating functions for the two rules: Hmn(x) for SO and Gmn(x) for S1. Let's look first at Gmn(x): Gmn(X) -- (px + q(~m)Gm-l,n-l(x). " With probability p the key lands at location one and increases the monster by one.

In the special cases r -- 2 and r = 4, the constant k is known to be equal to vf2 and the golden ratio respectively. In other cases the constant can 30 RECURRENCE RELATIONS be estimated by iterating the recurrence and solving for k. The doubly exponential growth of the sequence makes such estimates converge rapidly; but it also makes the estimates inexact for further terms in the sequence. 2) Balanced Trees. 3], counts the number of balanced binary trees of height n. Y n + l - Y2n + 2 y n Y n - - X .